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Questions related to computability theory, a.k.a. recursion theory
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Is the following function computable? is it total?
I have the following function:
$f : N \to N $ and $f(n)= \max_{i \leq w(n)} g_{i}(n)$
with $g_1, g_2,...g_{w(n)}$ being an enumeration of all computable functions $g_i$, and $w : N \to N$ being any no …
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Turing machine to find maximum of an infinite set
Given a set that is infinite but still countable, does a TM exist that goes over every element in the set and finds the maximum?
Is this a computable function?